Online GCD Calculator is useful to find the GCD of 174, 331, 984, 135 quickly. Get the easiest ways to solve the greatest common divisor of 174, 331, 984, 135 i.e 1 in different methods as follows.
Given Input numbers are 174, 331, 984, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (174, 331, 984, 135) = 1.
Given numbers are 174, 331, 984, 135
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 331 are 331
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 174, 331, 984, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 331) = 57594
GCD(174, 331) = ( 174 x 331 ) / 57594
= 174 / 331
= 174
Step2:
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
= 1 / 984
= 1
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 174, 331, 984, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 331, 984, 135
The greatest common divisor of numbers 174, 331, 984, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 331, 984, 135 is 1.
1. What is the GCD of 174, 331, 984, 135?
GCD of given numbers 174, 331, 984, 135 is 1
2. How to calculate the greatest common divisor of 174, 331, 984, 135?
We can find the highest common divisor of 174, 331, 984, 135 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 174, 331, 984, 135 i.e 1.
3. How can I use the GCD of 174, 331, 984, 135Calculator?
Out the numbers 174, 331, 984, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.